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Finding the Fourth Proportional to 1,016.82, 1,525.83 and 401.07

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Solution

The fourth proportional to 1,016.82, 1,525.83 and 401.07 is: 601.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.82 : 1,525.83 = 401.07 : x
  2. Step 2: Convert to fraction form
    1,016.82/1,525.83 = 401.07/x
  3. Step 3: Cross multiply
    1,016.82x = 1,525.83 × 401.07
  4. Step 4: Simplify right side
    1,016.82x = 611,964.64
  5. Step 5: Solve for x
    x = 611,964.64/1,016.82
  6. Step 6: Final answer
    x = 601.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.